R = 0.407Ω.
The resistance R of a particular conductor is related to the resistivity ρ of the material by the equation R = ρL/A, where ρ is the material resistivity, L is the length of the material and A is the cross-sectional area of the material.
To calculate the resistance R of a wire made of a material with resistivity of 3.2x10⁻⁸Ω.m, the length of the wire is 2.5m and its diameter is 0.50mm.
We have to use the equation R = ρL/A but first we have to calculate the cross-sectional area of the wire which is a circle. So, the area of a circle is given by A = πr², with r = d/2. The cross-sectional area of the wire is A = πd²/4. Then:
R =[(3.2x10⁻⁸Ω.m)(2.5m)]/[π(0.5x10⁻³m)²/4]
R = 8x10⁻⁸Ω.m²/1.96x10⁻⁷m²
R = 0.407Ω
Answer:
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The separation between the lines of the grating is 13.33μm.
<h3>What is diffraction grating?</h3>
The diffraction grating is the continuous lines with very minute slits or grating space in mm. It divides light composed of various wavelengths into light components by particular wavelength.
dsinθ = nλ
Substitute n =3, λ =490 x 10⁻⁹ m and angle θ =6.33°, we get
d = [3 x 490 x 10⁻⁹ /sin 6.33°]
d = 13.33 x 10⁻⁶ m
Thus, the separation between the lines of the grating is 13.33μm.
Learn more about diffraction grating.
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